2841027840 has 432 divisors, whose sum is σ = 11479104000. Its totient is φ = 648474624.

The previous prime is 2841027809. The next prime is 2841027851. The reversal of 2841027840 is 487201482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 2841027795 and 2841027804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3951001 + ... + 3951719.

It is an arithmetic number, because the mean of its divisors is an integer number (26572000).

Almost surely, 2^2841027840 is an apocalyptic number.

2841027840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2841027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739552000).

2841027840 is an abundant number, since it is smaller than the sum of its proper divisors (8638076160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2841027840 is an equidigital number, since it uses as much as digits as its factorization.

2841027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2841027840 is about 53301.2930424769. The cubic root of 2841027840 is about 1416.3105705831.

The spelling of 2841027840 in words is "two billion, eight hundred forty-one million, twenty-seven thousand, eight hundred forty".